### Part A#### Problem Statement:If the support at \( B \) is suddenly removed, determine the initial reactions at the pin \( A \). The plate has a weight of 30 lb.#### Diagram Description:The diagram on the left shows a square plate of side 2 ft and weight 30 lb resting on supports at points \( A \) and \( B \). The support at \( A \) is represented as a pin, and \( B \) as a rocker. The load of the plate (30 lb) acts vertically downward at its center of gravity, located 1 ft from both supports. An arrow labeled \( I_G \alpha \) indicates rotation due to the moment at the center of mass when the support at \( B \) is removed. The moment arm is shown to be \(\sqrt{2}\) ft making a 45° angle, creating an equivalent couple system.#### Options for the initial reactions at \( A \):- ○ \( A_x = 0 \), \( A_y = 30.0 \, \text{lb} \)- ○ \( A_x = 22.5 \, \text{lb}, \, A_y = 7.5 \, \text{lb} \)- ○ \( A_x = 11.25 \, \text{lb}, \, A_y = 41.3 \, \text{lb} \)- ○ \( A_x = 11.25 \, \text{lb}, \, A_y = 18.75 \, \text{lb} \)

Answered: Image /qna-images/answer/f78b1fef-d90f-48ed-8d23-fb940b63a216.jpg

Part A 2 ft Ax = 0, Ay = 30.0 lb Ax = 22.5 lb, Ay = 7.5 lb Ax = 11.25 lb, Ay = 41.3 lb Ax = 11.25 lb, Ay 18.75 lb 30 lb Į 1 ft 2 ft = Ax 30 √2 ft If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb.

Part A 2 ft Ax = 0, Ay = 30.0 lb Ax = 22.5 lb, Ay = 7.5 lb Ax = 11.25 lb, Ay = 41.3 lb Ax = 11.25 lb, Ay 18.75 lb 30 lb Į 1 ft 2 ft = Ax 30 √2 ft If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Part A

#### Problem Statement:
If the support at \( B \) is suddenly removed, determine the initial reactions at the pin \( A \). The plate has a weight of 30 lb.

#### Diagram Description:
The diagram on the left shows a square plate of side 2 ft and weight 30 lb resting on supports at points \( A \) and \( B \). The support at \( A \) is represented as a pin, and \( B \) as a rocker. The load of the plate (30 lb) acts vertically downward at its center of gravity, located 1 ft from both supports. An arrow labeled \( I_G \alpha \) indicates rotation due to the moment at the center of mass when the support at \( B \) is removed. The moment arm is shown to be \(\sqrt{2}\) ft making a 45° angle, creating an equivalent couple system.

#### Options for the initial reactions at \( A \):
- ○ \( A_x = 0 \), \( A_y = 30.0 \, \text{lb} \)
- ○ \( A_x = 22.5 \, \text{lb}, \, A_y = 7.5 \, \text{lb} \)
- ○ \( A_x = 11.25 \, \text{lb}, \, A_y = 41.3 \, \text{lb} \)
- ○ \( A_x = 11.25 \, \text{lb}, \, A_y = 18.75 \, \text{lb} \)

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